SOME n-RECTANGLE NONCONFORMING ELEMENTS FOR FOURTH ORDER ELLIPTIC EQUATIONS

• 来源期刊: 计算数学（英文版）
• 关键词: Nonconforming finite element Forth order elliptic equation Biharmonic
• 年，卷（期）: 2007,（4）
• 页码范围: 408-420
• 页数: 13页
• 语种: 英文

摘要

In this paper, three n-rectangle nonconforming elements are proposed with n ≥ 3. They are the extensions of well-known Morley element, Adini element and Bogner-Fox-Schmit element in two spatial dimensions to any higher dimensions respectively. These elements are all proved to be convergent for a model biharmonic equation in n dimensions.